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    • Question : One of the factors of the expression $4\sqrt{3}x^{2}+5x-2\sqrt{3}$ is: Option 1: $4x+\sqrt{3}$<
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    Question : One of the factors of the expression $4\sqrt{3}x^{2}+5x-2\sqrt{3}$ is:

    Option 1: $4x+\sqrt{3}$

    Option 2: $4x+3$

    Option 3: $4x-3$

    Option 4: $4x-\sqrt{3}$

    Team Careers360 24th Jan, 2024
    Answer
    Answer (1)
    Team Careers360 25th Jan, 2024

    Correct Answer: $4x-\sqrt{3}$


    Solution : $4\sqrt{3}x^{2}+5x-2\sqrt{3}$
    = $4\sqrt{3}x^{2}+8x-3x-2\sqrt{3}$
    = $4x(\sqrt{3}x+2)-\sqrt{3}(\sqrt{3}x+2)$
    = $(4x-\sqrt{3})(\sqrt{3}x+2)$
    Hence, the correct answer is $4x-\sqrt{3}$.

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